Compact complex manifolds with numerically effective cotangent bundles.
Kratz, Henrik (1997)
Documenta Mathematica
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Kratz, Henrik (1997)
Documenta Mathematica
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L’udovít Balko (2021)
Commentationes Mathematicae Universitatis Carolinae
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We compute the height of the third Stiefel--Whitney characteristic class of the canonical bundles over some infinite classes of Grassmann manifolds of five dimensional vector subspaces of real vector spaces.
Manea, Adelina (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Thomas. Peternell, Michal Szurek (1992)
Mathematische Annalen
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Bun Wong (1984)
Mathematische Zeitschrift
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Peter Löffler, Larry Smith (1974)
Mathematische Zeitschrift
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Włodzimierz M. Mikulski (1993)
Mathematica Bohemica
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Let and be two natural bundles over -manifolds. We prove that if is of type (I) and is of type (II), then any natural differential operator of into is of order 0. We give examples of natural bundles of type (I) or of type (II). As an application of the main theorem we determine all natural differential operators between some natural bundles.
Kyung Whan Kwun (1984)
Colloquium Mathematicae
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Korbaš, Július, Zvengrowski, Peter
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This paper has two parts. Part one is mainly intended as a general introduction to the problem of sectioning vector bundles (in particular tangent bundles of smooth manifolds) by everywhere linearly independent sections, giving a survey of some ideas, methods and results.Part two then records some recent progress in sectioning tangent bundles of several families of specific manifolds.